2026-04-13T06:42:33Zhttps://recercat.cat/oai/request

oai:recercat.cat:2072/4525282024-06-06T09:45:03Zcom_2072_98col_2072_378195

00925njm 22002777a 4500 dc Burillo Puig, Josep author Cleary, Sean author Stein, Melanie author Taback, Jennifer author Centre de Recerca Matemàtica author 2005 We discuss metric and combinatorial properties of Thompson's group T, such as the normal forms for elements and uniqueness of tree pair diagrams. We relate these properties to those of Thompson's group F when possible, and highlight combinatorial differences between the two groups. We define a set of unique normal forms for elements of T arising from minimal factorizations of elements into convenient pieces. We show that the number of carets in a reduced representative of T estimates the word length, that F is undistorted in T, and that cyclic subgroups of T are undistorted. We show that every element of T has a power which is conjugate to an element of F and describe how to recognize torsion elements in T. Grups, Teoria dels Combinatorial and metric properties of Thompson's group T